I have also stayed in Williamsburg, Virginia, too and it’s about far more than craft! (Although the wig maker is a star!). We loved William and Mary university too. Colonial Williamsburg has 80 plus old buildings and you certainly can learn about the War of Independence and I also recommend a visit to the battle sites around York Town and see where the English landed at Jamestown and built a fort. We also visited two plantation houses in Charles County.
I would therefore consider driving around Virginia - we did Williamsburg, Charlottesville (Monticello and the university are star attractions) Stanton and Roanoke plus Valle Crucis. We called in to Richmond, Virginia, to see their fantastic Art Museum with a wonderful collection of Faberge (the best outside Russia). We drove the Skyline Drive and The Blue Ridge Mountain Parkway. It was absolutely brilliant. I highly recommend this area.
You can continue South into the Great Smoky Mountains (we will do this in the future). It’s outdoorsy and if you dislike Disney, this is for you. The music would be in full swing in the summer too. These drives have their own web sites so check them out and Moons Guide is worth a look.
If you want to go North, the Skyline Drive is relatively close to Washington DC and you can reach Gettysburg and Amish County if you are interested. We also visited Philadelphia which was impressive and also had great museums on American Independence as well as first class art museums.
LV is awful and you won’t like it. You could access Utah and Arizona via Phoenix. Way too hot in summer though! Leave it until late autumn or Easter. You might even enjoy this area then!
Have fun!